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math.RAJun 1, 2005
47
citations (OpenAlex)
authors
  • Y. A. Bahturin
  • M. V. Zaicev
arXiv abstractPDF
paper

Group Gradings on Simple Lie Algebras of Type "A"

arXiv:math/0506055

Abstract

In this paper we describe all group gradings by a finite abelian group G of any Lie algebra L of the type "A" over algebraically closed field F of characteristic zero.

30 pages

Cited by in corpus (18)

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  • Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
  • The fundamental group of a Hopf linear category
  • Gradings, Braidings, Representations, Paraparticles: some open problems
  • Group gradings on simple Lie algebras of type A in positive characteristic
  • Group gradings on superalgebras
  • Gradings by Groups on Graded Cartan Type Lie Algebras
  • Group gradings on the Lie and Jordan superalgebras Q(n)
  • Gradings and Symmetries on Heisenberg type algebras
  • Gradings on simple real Lie algebras
  • (Z/2Z x Z/2Z)-symmetric spaces
  • Gradings by Groups on Melikyan Algebras
  • Group Gradings on G2​
  • Group gradings on superinvolution simple superalgebras
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